What is the answer to (|-0.42|)/(|x|)=|0.7| ?

The answer to (|-0.42|)/(|x|)=|0.7| is x=-3/5 ,x= 3/5

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(|-0.42|)/(|x|)=|0.7|

\frac{∣ - 0.42 ∣}{∣ x ∣} = ∣ 0.7 ∣

x = - \frac{3}{5}, x = \frac{3}{5}

Decimal Notation

x = - 0.6, x = 0.6

Solution steps

\frac{∣ - 0.42 ∣}{∣ x ∣} = ∣ 0.7 ∣

Simplify

\frac{∣ - 0.42 ∣}{∣ x ∣} : \frac{0.42}{∣ x ∣}

\frac{0.42}{∣ x ∣} = ∣ 0.7 ∣

Multiply both sides by

∣ x ∣

0.42 = 0.7 ∣ x ∣

Solve

0.42 = 0.7 ∣ x ∣ : x = - \frac{3}{5} or x = \frac{3}{5}

x = - \frac{3}{5}, x = \frac{3}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{3}{5}, x = \frac{3}{5}

\frac{10 x}{8 - 7 x} = 15

x, - \frac{2}{x} + \frac{3}{y} = 9

0 = \frac{( 4 ( x - 7 ) ^{3} ( x - 5 ) )}{( x - 9 ) ^{9}}

\frac{- 3}{5 x ^{2} + 1} = 0

x, \frac{y}{x} = \frac{3}{2}

What is the answer to (|-0.42|)/(|x|)=|0.7| ?
The answer to (|-0.42|)/(|x|)=|0.7| is x=-3/5 ,x= 3/5
Solve for x: (|-0.42|)/(|x|)=|0.7|
The solution is x=-3/5 ,x= 3/5